文献类型：期刊文献

英文题名：Schur-Convexity for Elementary Symmetric Composite Functions and Their Inverse Problems and Applications

作者：Zhang, Tao[1,2];Chen, Alatancang[1,2];Shi, Huannan[3];Saheya, B.[1,2];Xi, Boyan[4]

第一作者：Zhang, Tao

通讯作者：Saheya, B[1];Saheya, B[2]

机构：[1]Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China;[2]Ctr Appl Math Sci, Hohhot 010022, Peoples R China;[3]Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China;[4]Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China

第一机构：Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

通讯机构：[1]corresponding author), Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China;[2]corresponding author), Ctr Appl Math Sci, Hohhot 010022, Peoples R China.

年份：2021

卷号：13

期号：12

外文期刊名：SYMMETRY-BASEL

收录：;Scopus(收录号：2-s2.0-85121499902);WOS:【SCI-EXPANDED(收录号:WOS:000737373600001)】；

基金：FundingThis research was funded by the National Natural Science Foundation (no. 11761029, no. 62161044), the Natural Science Foundation of Inner Mongolia (no. 2021LHMS01008, no. 2019LH01001).

语种：英文

外文关键词：symmetric function; Schur-convexity; inequality; special means

摘要：This paper investigates the Schur-convexity, Schur-geometric convexity, and Schur-harmonic convexity for the elementary symmetric composite function and its dual form. The inverse problems are also considered. New inequalities on special means are established by using the theory of majorization.